3 papers
math.NT2026
A Note On Certain Minimal Excludants Over Overpartitions
Dipika Sarkar, M. P. Thejitha, S. N. Fathima
Let and denote the sum of minimal excludants and sum of even minimal excludants over all overpartitions, respectively. In this work, we stud…
math.NT2026
Generalization of Ramanujan's Continued Fractions for Even Order
Dipika Sarkar, S. N. Fathima, M. P. Thejitha
In this paper, we derive three generalized continued fractions of any even order with the aid of a general continued fraction identity of Ramanujan and we establish general the…
math.NT2026
On Ramanujan's -Continued Fractions of Order Thirty-Four and Sixty-Eight
Dipika Sarkar, S. N. Fathima
We derived -continued fractions of order thirty-four and continued fractions of order sixty-eight from a general continued fraction identity of Ramanujan, wher…